16326028145040 has 320 divisors, whose sum is σ = 53898987029760. Its totient is φ = 4080133693440.

The previous prime is 16326028145023. The next prime is 16326028145093. The reversal of 16326028145040 is 4054182062361.

16326028145040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16326028144983 and 16326028145001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108340627 + ... + 108491213.

It is an arithmetic number, because the mean of its divisors is an integer number (168434334468).

Almost surely, 2^{16326028145040} is an apocalyptic number.

16326028145040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16326028145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26949493514880).

16326028145040 is an abundant number, since it is smaller than the sum of its proper divisors (37572958884720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16326028145040 is a wasteful number, since it uses less digits than its factorization.

16326028145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151090 (or 151084 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 16326028145040 in words is "sixteen trillion, three hundred twenty-six billion, twenty-eight million, one hundred forty-five thousand, forty".